x*x*x*x+x*x=-7

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Solution for x*x*x*x+x*x=-7 equation:


Simplifying
x * x * x * x + x * x = -7

Multiply x * x
x2 * x * x + x * x = -7

Multiply x2 * x
x3 * x + x * x = -7

Multiply x3 * x
x4 + x * x = -7

Multiply x * x
x4 + x2 = -7

Reorder the terms:
x2 + x4 = -7

Solving
x2 + x4 = -7

Solving for variable 'x'.

Reorder the terms:
7 + x2 + x4 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + x2 + x4 = 0

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + x2 + -7 + x4 = 0 + -7

Reorder the terms:
7 + -7 + x2 + x4 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x2 + x4 = 0 + -7
x2 + x4 = 0 + -7

Combine like terms: 0 + -7 = -7
x2 + x4 = -7

The x term is x2.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x2 + 0.25 + x4 = -7 + 0.25

Reorder the terms:
0.25 + x2 + x4 = -7 + 0.25

Combine like terms: -7 + 0.25 = -6.75
0.25 + x2 + x4 = -6.75

Factor a perfect square on the left side:
(x2 + 0.5)(x2 + 0.5) = -6.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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